A Hybrid Method for Modeling and Solving Supply Chain Optimization Problems with Soft and Logical Constraints

Table 3

(a) Decision variables used in the MILP and MILP_T models. (b) Constraints used in the MILP and MILP_T models.

(a)

MILP

MILP_T

Description of the decision variables after the multidimensional transformation

()

()

Decision variable , unlike the initial decision variables , , is generated only for technologically possible indices combinations; it defines the allocation size of product to the route of deliveries

Unnecessary

After transformation replaced by the appropriate factor for the route, generated by the CLP

Without change, the same sense

Unnecessary

After transformation replaced by the appropriate factor for the route, generated by the CLP

Without change, the same sense

Without change, the same sense

(b)

MILP

MILP_T

Description of the constraints after the multidimensional transformation